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  Weighted data spaces for correlation-based array imaging in experimental aeroacoustics

Raumer, H.-G., Spehr, C., Hohage, T., & Ernst, D. (2021). Weighted data spaces for correlation-based array imaging in experimental aeroacoustics. Journal of Sound and Vibration, 494: 115878. doi:10.1016/j.jsv.2020.115878.

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 Creators:
Raumer, H.-G., Author
Spehr, C., Author
Hohage, T.1, Author
Ernst, D., Author
Affiliations:
1Max Planck Institute for Solar System Research, Max Planck Society, Justus-von-Liebig-Weg 3, 37077 Göttingen, DE, ou_1125546              

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Free keywords: Aeroacoustics Beamforming Data weighting Noise covariance
 Abstract: This article discusses aeroacoustic imaging methods based on correlation measurements in the frequency domain. Standard methods in this field assume that the estimated correlation matrix is superimposed with additive white noise. In this paper we present a mathematical model for the measurement process covering arbitrarily correlated noise. The covariance matrix of correlation data is given in terms of fourth order moments. The aim of this paper is to explore the use of such additional information on the measurement data in imaging methods. For this purpose a class of weighted data spaces is introduced, where each data space naturally defines an associated beamforming method with a corresponding point spread function. This generic class of beamformers contains many well-known methods such as Conventional Beamforming, (Robust) Adaptive Beamforming or beamforming with shading. This article examines in particular weightings that depend on the noise (co)variances. In a theoretical analysis we prove that the beamformer, weighted by the full noise covariance matrix, has minimal variance among all beamformers from the described class. Application of the (co)variance weighted methods on synthetic and experimental data show that the resolution of the results is improved and noise effects are reduced.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1016/j.jsv.2020.115878
 Degree: -

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Title: Journal of Sound and Vibration
Source Genre: Journal
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Publ. Info: London : Academic Press
Pages: - Volume / Issue: 494 Sequence Number: 115878 Start / End Page: - Identifier: ISSN: 0022-460X
CoNE: https://pure.mpg.de/cone/journals/resource/954922646046